Tartalomjegyzék
\[ \newenvironment{dcases}{\left\{\begin{array}{ll}}{\end{array}\right.} \]Local Lyapunov function for a nontrivial equilibrium point
Teljes Matlab script kiegészítő függvényekkel.
Continuous-time Lotka-Volterra model
File: d2018_03_18_without_centering_lv2.m Directory: /1_projects/2_sta/demonstrative Author: Peter Polcz (ppolcz@gmail.com)
Created on 2018. March 18.
Automatically generated stuff
Output:
┌d2018_03_18_without_centering_lv2 │ - Persistence for `d2018_03_18_without_centering_lv2` reused (inherited) [run ID: 0503, 2018.03.18. Sunday, 13:54:03] │ - Script `d2018_03_18_without_centering_lv2` backuped │ ┌P_generate_symvars_v1_caller │ └ 0.22393 [sec] │ [ OK ] Kiemeles jol tortent: A(x)*x + f0 = f(x) │ [ OK ] The first n elements of sigma_b must be identity permutation (in theory) │ [ OK ] The upper left (n+k)x(n+k) submatrix of Theta should be full-rank │ [ OK ] Equation of the permuted model should be the same │ [ OK ] Equation of the reduced model should be the same │ ┌P_annihilator_linsolve_v6 │ │ ┌P_annihilator_linsolve_v6 - core computation │ │ └ 0.077816 [sec] │ │ ┌P_annihilator_linsolve_v6 - quick check I. - obtained annihilator, prec: 10 │ │ │ - maximal difference: 6.938894e-17, row nr. 8 │ │ └ 0.047533 [sec] │ │ ┌P_annihilator_linsolve_v6 - beautify annihilator + !roundings! │ │ └ 0.004968 [sec] │ │ ┌P_annihilator_linsolve_v6 - quick check II. - the beautified annihilator, prec: 10 │ │ │ - maximal difference: 3.349149e-16, row nr. 2 │ │ └ 0.035803 [sec] │ └ 0.17068 [sec] │ [ OK ] The first n elements of sigma_b must be identity permutation (in theory) │ [ OK ] The upper left (n+k)x(n+k) submatrix of Theta should be full-rank │ [ OK ] Equation of the permuted model should be the same │ [ OK ] Equation of the reduced model should be the same │ [ OK ] H*tPia = Pia │ ┌P_annihilator_linsolve_v6 │ │ ┌P_annihilator_linsolve_v6 - core computation │ │ └ 0.15326 [sec] │ │ ┌P_annihilator_linsolve_v6 - quick check I. - obtained annihilator, prec: 10 │ │ │ - maximal difference: 3.469447e-17, row nr. 6 │ │ └ 0.056754 [sec] │ │ ┌P_annihilator_linsolve_v6 - beautify annihilator + !roundings! │ │ └ 0.009545 [sec] │ │ ┌P_annihilator_linsolve_v6 - quick check II. - the beautified annihilator, prec: 10 │ │ │ - maximal difference: 3.859841e-16, row nr. 5 │ │ └ 0.035135 [sec] │ └ 0.25929 [sec] │ [ OK ] Successfully solved (MOSEK) │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Positive semidefinite. Tolerance: 1e-05 │ [ OK ] Egyenlo-e a ket kifejezes dV-re? └ 3.5548 [sec]
